Analysis and Simulation of Discrete, Spatially-extended Dynamical Systems

Department of Mathematics




Analysis and Simulation of Discrete, Spatially-extended Dynamical Systems


Research - Groups/Strengths


Analysis and Simulation of Discrete, Spatially-extended Dynamical Systems

H. Fukś has expertise in theory and applications of fully discrete dynamical systems such as cellular automata (CA) and lattice gas automata (LGA), with emphasis on dynamics of localized structures, role of invariants, and practical applications of spatially-extended discrete dynamical systems in modeling of physical and biological phenomena.

Representative publications

  1. H. Fukś, 
  2. “Second order additive invariants in elementary cellular automata”, arXiv:nlin.CG/0502037. Fundamenta Informaticae 75 (2006) 1-14
  3. H. Fukś, “Dynamics of CA rule 142”, Complex Systems, 16:123- 138 (2005)
  4. H. Fukś, A. Lawniczak, and R. Duchesne, “Effects of population mixing on the spread of SIR epidemics”, Eur. Phys. J. B, 50, 209-214 (2006)
  5. H. Fukś, “Critical behaviour of number-conserving cellular automata with nonlinear fundamental diagrams”, J. Stat. Mech.: Theor. Exp. (2004) P07005
  6. H. Fukś, “Probabilistic cellular automata with conserved quantities”, Nonlinearity 17:159- 173 (2004)
  7. 3. H. Fukś (with N. Boccara), "Number-conserving cellular automata" Fundamenta Informaticae 52, 1-13 (2002)
  8. 4. H. Fukś (with A. Lawniczak, S. Volkov), "Packet delay in data network models" ACM Transactions on Modeling and Computer Simulation 11, 233 - 250 (2001)